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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>

<a NAME="E1:58"/><i><font color="Green">E48</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1" target="_self">*'</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="complsp2.html#D1" target="_self">Def1</a></i>;<br/>
<i><font color="Green">E49</font></i>:  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K6" target="_self">Re</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">1 <a href="binop_2.html#K12">/</a> 2</span>)</span> <a href="complsp1.html#K6">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1" target="_self">*'</a> </span>)</span></span>)</span></span>)</span>

<br/>.= 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K3">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1" target="_self">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T3" target="_self">Th3</a></i>
<br/>.= 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="complsp2.html#T6" target="_self">Th6</a>, <a class="txt" href="complsp2.html#E1:58"><i><font color="Green">E48</font></i></a></i>
;<br/>
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K7" target="_self">Im</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default">1 <a href="binop_2.html#K12">/</a> 2</span>)</span> <a href="xcmplx_0.html#K3">*</a> <a href="complex1.html#K7">&lt;i&gt;</a> </span>)</span></span>)</span> <a href="complsp1.html#K6">*</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K4">-</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1" target="_self">*'</a> </span>)</span></span>)</span></span>)</span>

<br/>.= 
 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp1.html#K4">-</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="complsp2.html#K1" target="_self">*'</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="complsp2.html#T3" target="_self">Th3</a></i>
<br/>.= 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="complsp2.html#T7" target="_self">Th7</a>, <a class="txt" href="complsp2.html#E1:58"><i><font color="Green">E48</font></i></a></i>
;<br/>
<b>hence </b><a NAME="E4:58"/>
(  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K6" target="_self">Re</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="complsp2.html#K7" target="_self">Im</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="txt" href="complsp2.html#E2:58"><i><font color="Green">E49</font></i></a></i>;<br/>


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